An Application Model for Linear Programming with an Evolutionary Ranking Function
One of the most important methodologies in operations research (OR) is the linear programming problem (LPP). Many real-world problems can be turned into linear programming models (LPM), making this model an essential tool for today's financial, hotel, and industrial applications, among others....
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| Format: | Article |
| Language: | English |
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University of Baghdad
2022-07-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2817 |
| _version_ | 1811320518212583424 |
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| author | Rasha Jalal Mitlif |
| author_facet | Rasha Jalal Mitlif |
| author_sort | Rasha Jalal Mitlif |
| collection | DOAJ |
| description |
One of the most important methodologies in operations research (OR) is the linear programming problem (LPP). Many real-world problems can be turned into linear programming models (LPM), making this model an essential tool for today's financial, hotel, and industrial applications, among others. Fuzzy linear programming (FLP) issues are important in fuzzy modeling because they can express uncertainty in the real world. There are several ways to tackle fuzzy linear programming problems now available. An efficient method for FLP has been proposed in this research to find the best answer. This method is simple in structure and is based on crisp linear programming. To solve the fuzzy linear programming problem (FLPP), a new ranking function (RF) with the trapezoidal fuzzy number (TFN) is devised in this study. The fuzzy quantities are de-fuzzified by applying the proposed ranking function (RF) transformation to crisp value linear programming problems (LPP) in the objective function (OF). Then the simplex method (SM) is used to determine the best solution (BS). To demonstrate our findings, we provide a numerical example (NE).
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| first_indexed | 2024-04-13T12:59:47Z |
| format | Article |
| id | doaj.art-b9d98da547564f32a098b9742278fe7a |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T12:59:47Z |
| publishDate | 2022-07-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-b9d98da547564f32a098b9742278fe7a2022-12-22T02:45:56ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072022-07-0135310.30526/35.3.2817An Application Model for Linear Programming with an Evolutionary Ranking FunctionRasha Jalal Mitlif0Department of Applied Sciences, Branch of Mathematics and Computer Applications, University of Technology, Baghdad, Iraq. One of the most important methodologies in operations research (OR) is the linear programming problem (LPP). Many real-world problems can be turned into linear programming models (LPM), making this model an essential tool for today's financial, hotel, and industrial applications, among others. Fuzzy linear programming (FLP) issues are important in fuzzy modeling because they can express uncertainty in the real world. There are several ways to tackle fuzzy linear programming problems now available. An efficient method for FLP has been proposed in this research to find the best answer. This method is simple in structure and is based on crisp linear programming. To solve the fuzzy linear programming problem (FLPP), a new ranking function (RF) with the trapezoidal fuzzy number (TFN) is devised in this study. The fuzzy quantities are de-fuzzified by applying the proposed ranking function (RF) transformation to crisp value linear programming problems (LPP) in the objective function (OF). Then the simplex method (SM) is used to determine the best solution (BS). To demonstrate our findings, we provide a numerical example (NE). https://jih.uobaghdad.edu.iq/index.php/j/article/view/2817Linear programming (LP), Trapezoidal Fuzzy Number (TrFN), Ranking Function (RF) |
| spellingShingle | Rasha Jalal Mitlif An Application Model for Linear Programming with an Evolutionary Ranking Function Ibn Al-Haitham Journal for Pure and Applied Sciences Linear programming (LP), Trapezoidal Fuzzy Number (TrFN), Ranking Function (RF) |
| title | An Application Model for Linear Programming with an Evolutionary Ranking Function |
| title_full | An Application Model for Linear Programming with an Evolutionary Ranking Function |
| title_fullStr | An Application Model for Linear Programming with an Evolutionary Ranking Function |
| title_full_unstemmed | An Application Model for Linear Programming with an Evolutionary Ranking Function |
| title_short | An Application Model for Linear Programming with an Evolutionary Ranking Function |
| title_sort | application model for linear programming with an evolutionary ranking function |
| topic | Linear programming (LP), Trapezoidal Fuzzy Number (TrFN), Ranking Function (RF) |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2817 |
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